Big Ray Tracing and Eikonal Solver on Unstructured Grids : Application to the Computation of a Multi-valued Travel-time Field in the Marmousi ModelReport as inadecuate




Big Ray Tracing and Eikonal Solver on Unstructured Grids : Application to the Computation of a Multi-valued Travel-time Field in the Marmousi Model - Download this document for free, or read online. Document in PDF available to download.

1 ONDES - Modeling, analysis and simulation of wave propagation phenomena Inria Paris-Rocquencourt, Univ. Paris-Saclay, ENSTA ParisTech - École Nationale Supérieure de Techniques Avancées, CNRS - Centre National de la Recherche Scientifique : UMR2706

Abstract : We present in this paper the numerical computation of the multi-valued travel-time field generated by a point source experiment in the Marmousi model. Two recently developed methods are combined to achieve this goal : a method called big ray tracing, used for the computation of multi-valued travel-time fields, and an eikonal solver designed to work on unstructured meshes.\\ Big ray tracing is based on a combination of ray tracing and local solutions of the eikonal equation. A classical ray tracing first -discretizes- the phase space and defines local zones which possibly overlap where the travel-time field is multi-valued. An eikonal solver then computes the travel-time in these zones called big rays. It acts as an exact interpolator between rays associated to different branches of the travel-time field. The geometry of the big rays may be complicated and is best discretized using unstructured meshes. An eikonal solver designed to work on unstructured meshes is used.

Keywords : FD-FE UPWIND SCHEME HIGH FREQUENCY ASYMPTOTIC FERMAT PRINCIPLE GEOMETRIC AL OPTICS RAY TRACING MULTI-VALUED TRAVEL TIME FIELD VISCOSITY SOLUTION UNSTRUCTURED MESH HYPERBOLIC EQUATION EIKONAL EQUATION WAVE EQUATION HAMILTON-JACOBI CALCULUS OF VARIATION





Author: Remi Abgrall Jean-David Benamou -

Source: https://hal.archives-ouvertes.fr/



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